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Finding the Fourth Proportional to 50,517.58, 69,714.82 and 27,856.64

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Solution

The fourth proportional to 50,517.58, 69,714.82 and 27,856.64 is: 38,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517.58 : 69,714.82 = 27,856.64 : x
  2. Step 2: Convert to fraction form
    50,517.58/69,714.82 = 27,856.64/x
  3. Step 3: Cross multiply
    50,517.58x = 69,714.82 × 27,856.64
  4. Step 4: Simplify right side
    50,517.58x = 1,942,020,643.40
  5. Step 5: Solve for x
    x = 1,942,020,643.40/50,517.58
  6. Step 6: Final answer
    x = 38,442.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.